Arithmetic Aptitudes › Numbers › Question #4475
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Q"There are two numbers whose difference is 11 and whose sum, when divided by 5, is 9. Determine the values of these numbers."

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#4475Q ID
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  • A 28, 17 ✔ ✖
  • B 34,24 ✔ ✖
  • C 15, 18 ✔ ✖
  • D 27, 16 ✔ ✖
Correct Answer

Explanation

Given:

x - y = 11
(x + y)/5 = 9
Add the two equations:

(6x + 4y)/5 = 20
6x + 4y = 100
Solve for x:

x = (100 - 4y)/6
We could have solved for x by substituting the value of y from the first equation into the second equation.
This would give us the equation:

x = 28
Substituting this value for x into the first equation, we would get:

y = 17
Therefore, the two numbers are x = 28 and y = 17.

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